Q: What are the factor combinations of the number 110,144,345?

 A:
Positive:   1 x 1101443455 x 2202886961 x 1805645239 x 460855305 x 3611291195 x 921711511 x 728957555 x 14579
Negative: -1 x -110144345-5 x -22028869-61 x -1805645-239 x -460855-305 x -361129-1195 x -92171-1511 x -72895-7555 x -14579


How do I find the factor combinations of the number 110,144,345?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 110,144,345, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 110,144,345
-1 -110,144,345

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 110,144,345.

Example:
1 x 110,144,345 = 110,144,345
and
-1 x -110,144,345 = 110,144,345
Notice both answers equal 110,144,345

With that explanation out of the way, let's continue. Next, we take the number 110,144,345 and divide it by 2:

110,144,345 ÷ 2 = 55,072,172.5

If the quotient is a whole number, then 2 and 55,072,172.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 110,144,345
-1 -110,144,345

Now, we try dividing 110,144,345 by 3:

110,144,345 ÷ 3 = 36,714,781.6667

If the quotient is a whole number, then 3 and 36,714,781.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 110,144,345
-1 -110,144,345

Let's try dividing by 4:

110,144,345 ÷ 4 = 27,536,086.25

If the quotient is a whole number, then 4 and 27,536,086.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 110,144,345
-1 110,144,345
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

15612393051,1951,5117,55514,57972,89592,171361,129460,8551,805,64522,028,869110,144,345
-1-5-61-239-305-1,195-1,511-7,555-14,579-72,895-92,171-361,129-460,855-1,805,645-22,028,869-110,144,345

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